212201122111020 has 288 divisors, whose sum is σ = 762992801940096. Its totient is φ = 46724967936000.

The previous prime is 212201122111007. The next prime is 212201122111021. The reversal of 212201122111020 is 20111221102212.

212201122111020 is a `hidden beast` number, since 21 + 220 + 112 + 211 + 102 + 0 = 666.

It is a super-2 number, since 2×212201122111020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212201122110984 and 212201122111002.

It is not an unprimeable number, because it can be changed into a prime (212201122111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17824641 + ... + 27241880.

It is an arithmetic number, because the mean of its divisors is an integer number (2649280562292).

Almost surely, 2^{212201122111020} is an apocalyptic number.

212201122111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201122111020 is an abundant number, since it is smaller than the sum of its proper divisors (550791679829076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212201122111020 is a wasteful number, since it uses less digits than its factorization.

212201122111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45066681 (or 45066676 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212201122111020 its reverse (20111221102212), we get a palindrome (232312343213232).

It can be divided in two parts, 212201 and 122111020, that added together give a palindrome (122323221).

The spelling of 212201122111020 in words is "two hundred twelve trillion, two hundred one billion, one hundred twenty-two million, one hundred eleven thousand, twenty".